ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of LiAsRh2 (Materials Project id mp-862335)

       258      116      116        0        0        0  
       116      258      116        0        0        0  
       116      116      258        0        0        0  
         0        0        0       69        0        0  
         0        0        0        0       69        0  
         0        0        0        0        0       69  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 163.33 GPaEV = 183.29 GPaGV = 69.8 GPaνV = 0.31297
ReussKR = 163.33 GPaER = 183.26 GPaGR = 69.786 GPaνR = 0.313
HillKH = 163.33 GPaEH = 183.27 GPaGH = 69.793 GPaνH = 0.31298

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
69 GPa 69 GPa 69 GPa 142 GPa 142 GPa 490 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 181.45 GPa 186.04 GPa 2.0408 TPa–1 2.0408 TPa–1 69 GPa 71 GPa0.304380.32301Value
Anisotropy 1.025 1.0000 1.029 1.0612Anisotropy
Axis 0.5774
0.5774
0.5773
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.5000
0.0000
0.8660
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.7071
-0.0004
-0.7071
0.7071
-0.0002
0.7071
Axis
0.9397
0.3420
-0.0000
0.7071
-0.0006
-0.7071
0.0003
1.0000
-0.0003
0.7071
-0.0005
-0.7071
Second axis

Spatial dependence of Young's modulus



Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility



linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus



Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio



Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane